Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
785055744 |
Modular degree for the optimal curve |
Δ |
7.3627443544261E+30 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106547110434,-13385639031234156] |
[a1,a2,a3,a4,a6] |
Generators |
[-6885745178413452593800648340064449501548599295123806443213045022490545:-25626033081691589617821826082695500396336061828100747592296718017519349:36523235360954891181983717398877092952781703929663848935731123875] |
Generators of the group modulo torsion |
j |
661452718394879874611/36407410163712 |
j-invariant |
L |
3.5603141679459 |
L(r)(E,1)/r! |
Ω |
0.0083563297609655 |
Real period |
R |
106.51548795313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574cu1 15246g1 106722ge1 |
Quadratic twists by: -3 -7 -11 |